---
res:
bibo_abstract:
- A finite classical polar space of rank $n$ consists of the totally isotropic subspaces
of a finite vector space equipped with a nondegenerate form such that $n$ is the
maximal dimension of such a subspace. A $t$-Steiner system in a finite classical
polar space of rank $n$ is a collection $Y$ of totally isotropic $n$-spaces such
that each totally isotropic $t$-space is contained in exactly one member of $Y$.
Nontrivial examples are known only for $t=1$ and $t=n-1$. We give an almost complete
classification of such $t$-Steiner systems, showing that such objects can only
exist in some corner cases. This classification result arises from a more general
result on packings in polar spaces.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Kai-Uwe
foaf_name: Schmidt, Kai-Uwe
foaf_surname: Schmidt
- foaf_Person:
foaf_givenName: Charlene
foaf_name: Weiß, Charlene
foaf_surname: Weiß
foaf_workInfoHomepage: http://www.librecat.org/personId=70420
bibo_doi: 10.5070/c63160424
bibo_issue: '1'
bibo_volume: 3
dct_date: 2023^xs_gYear
dct_language: eng
dct_title: Packings and Steiner systems in polar spaces@
...